CPM Algebra 1
Chapter 5
Group Test
Work as a team to solve the following problems. Each student must write out the
complete solution for each problem on her/his own paper. Be sure to write clear,
organized responses.
1.
Using a set of Algebra Tiles,
arrange the tiles pictured at right
into one large rectangle.
y
a.
On your paper, sketch your
rectangle.
b.
What are the dimensions
(length and width) of the
rectangle you made? Label
your sketch with its
dimensions.
c.
Write a
x
x
x
statement showing that
.
2. Joanne and Jermaine studied a rectangle formed by algebra tiles. They disagree about
the correct expression for the tiles. Joanne wrote the expression
2y + xy + x 2 + 2 . Jermaine wrote the expression 2y + xy + x 2 + 2 + 3x . Who
is correct? How can you be sure? Explain your reasoning.
3.
Given the following two clues, show all four representations (tile pattern,
table, rule, graph) of the pattern. Write a few sentences explaining how you
figured out the pattern.
4
The equation
is written in standard form.
+
y
y
y
a.
Predict the growth rate and the y-intercept.
b.
x
x
The same equation is shown on the equation
x
x
x
x
mat at right. With your team, set up this
–
equation on your equation mat using tiles.
Then rearrange the tiles to get y by itself on
the left side of the mat. Record each of your moves algebraically.
c.
Use your results in part (b) to find the growth factor and the y-intercept
of the line
. Did your results match your prediction?
+
–
5.
6.
Poor Petunia! She took out her partially completed homework only to
discover that she left her math book at school. She knows that the 12, 45 and
340 came from the question in the book but she can’t remember anything else.
Pints of Ice Cream
12
People
45
6 3 22.5 11.25 ??? 340
a.
What is she supposed to find in this problem? Write a question that the
math book could have been asking.
b.
Does Petunia’s solving strategy make sense? Explain.
c.
Solve the problem. Be sure to label and justify your work.
Solve the following equations for the indicated variable. Show all of your work.
a.
Solve for x: 2(x + 1) = x + 12
b.
Solve for y: −8x − 2y = −4
c.
Solve for m: 4 p = 4 + 2(m − p)
d.
Solve for x: y = 4x + 3